| Issue |
EPL
Volume 89, Number 5, March 2010
|
|
|---|---|---|
| Article Number | 50003 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/89/50003 | |
| Published online | 18 March 2010 | |
Equivalence of the modified gravity equation to the Clausius relation
1
Department of Physics, National Tsing Hua University - Hsinchu, Taiwan 300, ROC
2
Department of Physics, Nagoya University - Nagoya 464-8602, Japan
3
Instituciò Catalana de Recerca i Estudis Avançats (ICREA) and Institut de Ciencies de l'Espai (IEEC-CSIC), Campus UAB, Facultat de Ciencies - Torre C5-Par-2a pl, E-08193 Bellaterra (Barcelona), Spain, EU
Corresponding author: bamba@phys.nthu.edu.tw
Received:
21
January
2010
Accepted:
11
February
2010
We explicitly show that the equations of motion for modified gravity theories of F(R)-gravity, the scalar Gauss-Bonnet gravity, F(
)-gravity and the non-local gravity are equivalent to the Clausius relation in thermodynamics. In addition, we discuss the relation between the expression of the entropy and the contribution from the modified gravity as well as the matter to the definition of the energy flux (heat).
PACS: 04.50.Kd – Modified theories of gravity / 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 95.36.+x – Dark energy
© EPLA, 2010
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